Question
A bag contains 5 red balls, 4 black balls and 8 white
balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same colour.Solution
Total number of balls in the bag = 5 + 4 + 8 = 17 Total possible outcomes = 17C2 = 136 Number of favourable outcomes = 5C2 + 4C2 + 8C2 = 10 + 6 + 28 = 44 Required probability = 44/136 = 11/34
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